Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry

Details Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry

2007-10-05

arxiv.org/abs/0710.1130v2

Phys.Lett.B665:294-297,2008

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 3 figures, v2: accepted for publication in PLB

Scientific paper

10.1016/j.physletb.2008.06.039

We determine the topological susceptibility $\chi_t$ in two-flavor QCD using the lattice simulations at a fixed topological sector. The topological charge density is unambiguously defined on the lattice using the overlap-Dirac operator which possesses exact chiral symmetry. Simulations are performed on a $16^3 \times 32$ lattice at lattice spacing $\sim$ 0.12 fm at six sea quark masses $m_q$ ranging in $m_s/6$--$m_s$ with $m_s$ the physical strange quark mass. The $\chi_t$ is extracted from the constant behavior of the time-correlation of flavor-singlet pseudo-scalar meson two-point function at large distances, which arises from the finite size effect due to the fixed topology. In the small $m_q$ regime, our result of $\chi_t$ is proportional to $m_q$ as expected from chiral effective theory. Using the formula $\chi_t=m_q\Sigma/N_f$ by Leutwyler-Smilga, we obtain the chiral condensate in $N_f=2$ QCD as $\Sigma^{\bar{\mathrm{MS}}}(\mathrm{2 GeV}) = [252(5)(10) \mathrm{MeV}]^3 $, in good agreement with our previous result obtained in the $\epsilon$-regime.

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